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Independence ratios of graph powers

โœ Scribed by Pavol Hell; Xingxing Yu; Huishan Zhou


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
444 KB
Volume
127
Category
Article
ISSN
0012-365X

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โœฆ Synopsis


We investigate the limiting behaviour of the independence ratio of increasing Cartesian powers of a graph.


๐Ÿ“œ SIMILAR VOLUMES


On the independence ratio of a graph
โœ Michael O. Albertson; Joan P. Hutchinson ๐Ÿ“‚ Article ๐Ÿ“… 1978 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 318 KB

## Abstract This paper presents some recent results on lower bounds for independence ratios of graphs of positive genus and shows that in a limiting sense these graphs have the same independence ratios as do planar graphs. This last result is obtained by an application of Menger's Theorem to show t

Independent sets in tensor graph powers
โœ Alon, Noga (author);Lubetzky, Eyal (author) ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› Wiley-Liss Inc. ๐ŸŒ English โš– 154 KB

## Abstract The tensor product of two graphs, __G__ and __H__, has a vertex set __V__(__G__) ร— __V__(__H__) and an edge between (__u__,__v__) and (__u__โ€ฒ,__v__โ€ฒ) iff both __u__ __u__โ€ฒ โˆˆ __E__(__G__) and __v__ __v__โ€ฒ โˆˆ __E__(__H__). Let __A__(__G__) denote the limit of the independence ratios of ten

Independent sets in tensor graph powers
โœ Alon, Noga (author);Lubetzky, Eyal (author) ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› Wiley-Liss Inc. ๐ŸŒ English โš– 154 KB
Independent sets in tensor graph powers
โœ Alon, Noga (author);Lubetzky, Eyal (author) ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› Wiley-Liss Inc. ๐ŸŒ English โš– 154 KB
Independent sets in tensor graph powers
โœ Alon, Noga (author);Lubetzky, Eyal (author) ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› Wiley-Liss Inc. ๐ŸŒ English โš– 154 KB